Abstract
The purpose of this work is to generalize, in the context of 1-motives, the p -adic height pairings constructed by B. Mazur and J. Tate on abelian varieties. Following their approach, we define a global pairing between the rational points of a 1-motive and its dual. We also provide a local pairing between disjoint zero-cycles of degree zero on a curve, which is done by considering the Picard and Albanese 1-motives associated to the curve.
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More From: Rendiconti del Seminario Matematico della Università di Padova
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